$$\(\mathrm{f}(x)=4 x+3 \quad \mathrm{~g}(x)=5 x-4\)$$ $$\[ \operatorname{fg}(x)=20 x+p \]$$ Find the value of $$\(p\)$$. $$\[ p=............... \]$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s20_qp_21 Year:2020 Question No:14(a)

Answer:

\([p=]-13\)

Knowledge points:

E2.9.1 Use function notation, e.g. f(x)=3x-5, f:x↦3x-5, to describe simple functions.
E2.9.2 Find inverse functions
E2.9.3 Form composite functions as defined by gf(x)=g(f(x)).

Solution:

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